BizReseacher makes some valid points. For more information on choosing and registering your business name, visit this page. Another approach that may be useful is talking to a mentor who could offer you specific guidance.

The answer to your question depends on the state in which your business is
located. Most states require you to register the name and entity type either
with your secretary of state's office or with your county. The length of time
it takes depends on how busy the office may be. You may want to check your
state's business website (most states have one) where you may find links to
the forms you need to file along with filing instructions.

In addition to registering your business name and entity type, you may also
need a local business license, which you would obtain from your city clerk's
office. If you are planning to start a construction business, you may also
need a contractor's license, which may be issued by either your state or your
county.